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Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of second order. The precise and clear exposition is suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.
Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.
"There is properly no history, only biography," Emerson remarked, and in this ingenious book Thomas McGraw unfolds the history of four powerful men: Charles Francis Adams, Louis D. Brandeis, James M. Landis, and Alfred E. Kahn. The absorbing stories he tells make this a book that will appeal across a wide spectrum of academic disciplines and to all readers interested in history, biography, and Americana.
This is a fascinating collection of personal accounts which is a "must read" for anyone interested in membrane transport or the history of the development of the current picture of membrane transport physiology. This delightful book could serve variously as a history for investigators and historians or as a textbook for advanced students. No biology or medical library should be without it
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Capturing the real spirit of creativity in physiology, this book explores the personal elements involved in scientific discovery. Circulation of the Blood is the story of the people and achievements that have changed the way we've come to view the human body. The authors, renowned for their extensive experience in the field, examine the heritage of creative genius involved in physiology and trace the historical development of ideas relating to various aspects of circulation of the blood. Their comprehensive coverage goes from the early discoveries of the Greeks and Romans up to modern times.
This Amish and Mennonite genealogy traces 8,757 families descended from 1703 Jacob Hertzler of Berks Co., Pa. Also provides background history and statistical information on the Hertzler-Hartzler families. (733pp. index. hardcover. reprint of 1952 edition. Higginson Book Co.) Please visit www.HigginsonBooks.com to purchase this title.
The question of inclusion of local effects in the analysis of structures is currently one of prime importance for engineering design. The classical computational approaches are not readily adapted to take local effects into account and appropriate treatments are therefore necessary. Providing an introduction to and survey of the specific computational methods, this book contains 16 papers, most of which were presented at the EUROMECH Colloquium `Inclusion of Local Effects in the Analysis of Structures', held in France in 1984. The book begins with the various theories which allow the separation and determination of local and global effects. The next group of papers discuss edge effects for composite structures. The third part comprises two papers concerning dynamic problems and points the way towards non-conventional local effects in structural mechanics. The last part deals with general numerical methods, especially for effects due to large local variations of geometry.